PHIt is not incorrect English, but that choice of words is not correct under the circumstances.
In normal conversations the phrase "I'm having ... " is used with events, such as having a baby, having a seizure, having a good time, etc., which occur over a period of time.
But it is not normally used with possessions, such as a car or other object. In that case, one would say "I have a car," "I've got a car," or "I don't have a car."
The present continuous form may be in common use for possessions in our locality, but we will not see it when reading literature written in, or by hearing people speaking in, US or British English.
In normal conversations the phrase "I'm having ... " is used with events, such as having a baby, having a seizure, having a good time, etc., which occur over a period of time.
But it is not normally used with possessions, such as a car or other object. In that case, one would say "I have a car," "I've got a car," or "I don't have a car."
The present continuous form may be in common use for possessions in our locality, but we will not see it when reading literature written in, or by hearing people speaking in, US or British English.